Determine if the function is even, odd, or neither.
-$$f ( x ) = - 6 x ^ { 5 } - 5 x ^ { 3 }$$
A) Odd
B) Neither
C) Even

Name: Determine if the function is even, odd, or neither. -\[f ( x ) = - 6 x ^ { 5 } - 5 x ^ { 3 }\] A) Odd B) Neither C) Even
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Question

Quizplus · Accepted Answer

A function is odd if $f(-x) = -f(x)$ for all $x$ in the domain of $f$. For $f(x) = -6x^5 - 5x^3$, substituting $-x$ for $x$ gives $f(-x) = -6(-x)^5 - 5(-x)^3 = 6x^5 + 5x^3$, which is $-f(x)$. Therefore, the function is odd.

Determine If the Function Is Even, Odd, or Neither f(x)=−6x5−5x3f ( x ) = - 6 x ^ { 5 } - 5 x ^ { 3 }f(x)=−6x5−5x3

Determine If the Function Is Even, Odd, or Neither $f ( x ) = - 6 x ^ { 5 } - 5 x ^ { 3 }$